Semiclassical energy of the $AdS_4 \times \mathbb{CP}^3$ folded string

Understand

We consider the classical solution describing a folded type IIA string in the background $AdS_4 \times \mathbb{CP}^3$.

• The string is spinning in $AdS$ and has angular momentum in $\mathbb{CP}^3$.
• In the 't Hooft limit, this is the gravity dual of twist operators in the ABJM superconformal theory.
• We quantize the classical solution by algebraic curve methods and determine the first semiclassical correction to the energy.